What is 11/27 Divided By 2/3

Answer: 1127÷23\frac{11}{27}\div\frac{2}{3} = 1118\frac{11}{18}

Solving 1127÷23\frac{11}{27}\div\frac{2}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

1127÷23=1127×32\frac{11}{27} \div \frac{2}{3} = \frac{11}{27} \times \frac{3}{2}

  • Multiply the Numerators: 11×3=3311 \times 3 = 33
  • Multiply the Denominators: 27×2=5427 \times 2 = 54
  • Form the New Fraction: 1127×23=3354\frac{11}{27} \times \frac{2}{3} = \frac{33}{54}

Let's Simplify 3354\frac{33}{54}

  • Find the Greatest Common Divisor (GCD) of 3333 and 5454. The GCD of 3333 and 5454 is 33.
  • Divide both the numerator and the denominator by the GCD:33÷354÷3=1118\frac{33 \div 3}{54 \div 3} = \frac{11}{18}

Answer 1127÷23=1118\frac{11}{27}\div\frac{2}{3} = \frac{11}{18}


The following animation demonstrates the divide-by,

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